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A Liouville theorem for the Hénon-Lane-Emden system in four and five dimensions

In the present article, we investigate the following Hénon-Lane-Emden elliptic system: −Δu=∣x∣avp,x∈RN,−Δv=∣x∣buq,x∈RN,\left\{\begin{array}{ll}-\Delta u={| x| }^{a}{v}^{p},& x\in {{\mathbb{R}}}^{N},\\ -\Delta v={| x| }^{b}{u}^{q},& x\in {{\mathbb{R}}}^{N},\end{array}\right. where N≥2N\ge 2, pp, q>0q...

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Detalles Bibliográficos
Autor Principal: Li Hang
Formato: Artigo
Idioma:Inglês
Publicado: De Gruyter 2022-10-01
Series:Advanced Nonlinear Studies
Assuntos:
Acceso en liña:https://doi.org/10.1515/ans-2022-0027
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